How do I apply?

There's not a volunteer moderator on Xbox. There's the enforcement team. That's like any regular job. You would see if they have any positions open and submit a resume, etc.

If you mean a volunteer moderator role on the forums, you don't apply for it. Moderators are chosen if/when needed. Usually people who are known to follow the rules, etc.

http://enforcement.xbox.com/home/howto#sub-topic0-6

How do I apply to work for them?

How do you apply again, if, you weren't on your account for like, 60 days and you go on it for alot of times, how do you apply then?

You don't. Xbox new which console serial numbers were valid for that switch which took place earlier this year and the owners were notified. If there is a problem with your console you'll either have to call support to set up a repair or purchase a new
one.